A structured visual guide to the major mathematical areas and their relationships.
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This subtopic studies matrix groups, including classical matrix groups and their algebraic and geometric properties.
20H05 studies unimodular groups, congruence subgroups of matrix groups in matrix groups. It studies groups realized as invertible matrices, emphasizing classical, arithmetic, and geometric subclasses.
Used to connect linear actions with geometry, arithmetic, and subgroup structure.
20H10 studies fuchsian groups and their generalizations in matrix groups. It studies groups realized as invertible matrices, emphasizing classical, arithmetic, and geometric subclasses.
Used to connect linear actions with geometry, arithmetic, and subgroup structure.
20H15 studies other geometric groups, including crystallographic groups in matrix groups. It studies groups realized as invertible matrices, emphasizing classical, arithmetic, and geometric subclasses.
Used to connect linear actions with geometry, arithmetic, and subgroup structure.
20H20 studies other matrix groups over fields in matrix groups. It studies groups realized as invertible matrices, emphasizing classical, arithmetic, and geometric subclasses.
Used to connect linear actions with geometry, arithmetic, and subgroup structure.
20H25 studies other matrix groups over rings in matrix groups. It studies groups realized as invertible matrices, emphasizing classical, arithmetic, and geometric subclasses.
Used to connect linear actions with geometry, arithmetic, and subgroup structure.
20H30 studies linear groups over specific rings in matrix groups. It studies groups realized as invertible matrices, emphasizing classical, arithmetic, and geometric subclasses.
Used to connect linear actions with geometry, arithmetic, and subgroup structure.